两档覆冰输电线的动力学建模及其舞动特性研究  

Dynamic modeling and galloping characteristics of two-span iced transmission lines

作　　者：闵光云 刘小会[1,2] 严波[3] 郑佳艳[2] 蔡萌琦 Min Guangyun;Liu Xiaohui;Yan Bo;Zheng Jiayan;Cai Mengqi(School of Civil Engineering,Chongqing Jiaotong University,400074,Chongqing,China;State Key Laboratory of Bridge and Tunnel Engineering in Mountain Areas,Chongqing Jiaotong University,400074,Chongqing,China;College of Aerospace Engineering,Chongqing University,400074,Chongqing,China;School of Architecture and Civil Engineering,Chengdu University,610106,Chengdu,China;Failure Mechanics and Engineering Disaster Prevention and Mitigation,Key Laboratory of Sichuan Province,Sichuan University,610106,Chengdu,China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]重庆交通大学省部共建山区桥梁及隧道工程国家重点实验室,重庆400074 [3]重庆大学航天航空学院,重庆400074 [4]成都大学建筑与土木工程学院,成都610106 [5]四川大学破坏力学与防灾减灾重点实验室,成都610106

出　　处：《应用力学学报》2021年第4期1684-1689,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51308570,51808085,51507106);重庆市研究生科研创新项目(CYS19240);重庆市科委基础科学与前沿技术研究(cstc2017jcyjAX0246);重庆市教委科学技术研究(KJ201600712182);重庆市创新训练项目(S201910618016)。

摘　　要：基于Hamilton变分准则推导了第一档与第二档输电线路的动力学方程,接着以绝缘子串为参考对象建立转动方程,根据变形协调准则获得两档导线耦合偏微分方程组。引入气动荷载,采用Galerkin法将偏微分方程组转化为常微分方程组。采用多尺度法求得两档导线模型的位移响应表达式,并开展算例分析。结果表明:第一档与第二档输电线路的频率近似满足1∶1关系时,需考虑两者之间的共振效应,即不能将两档输电线线路模型简化为单档输电线路模型;但当两者不满足此比例关系时,可将两档输电线路模型简化为单档输电线路模型,从而提高工作效率。本文的结论亦适用于多档输电线路舞动特性的研究。Based on the Hamilton’s principle,the dynamic equations of transmission lines are derived,then the rotation equations are established with insulator strings as reference objects,and finally the coupled partial differential equations are obtained according to the deformation coordination principle.The partial differential equations are transformed into ordinary differential equations by Galerkin method.The method of multiple scales is used to obtain the displacement response of the two-span conductor model.Finally,an example is analyzed with some results illustrated.When the frequency of the first-span transmission line and the second-span transmission line approximately meet the 1:1,the resonance effect between the first-span transmission line and the second-span transmission line should be considered,i.e.,the two-span transmission lines model cannot be simplified as a single-span transmission line model.However,it is not,the two-span transmission lines model can be simplified as a single-span transmission line model,which is beneficial for the calculation efficiency improvement.The conclusions of this paper could also be applied to the galloping characteristics of multi-span transmission lines.

关 键 词：覆冰输电线 两档导线 舞动特征 气动荷载 

分 类 号：TM752[电气工程—电力系统及自动化]